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Finding the Third Proportional to 72,124 and 156,418

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Solution

The third proportional to 72,124 and 156,418 is: 339,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,124 : 156,418 = 156,418 : x
  2. Step 2: Convert to fraction form
    72,124/156,418 = 156,418/x
  3. Step 3: Cross multiply
    72,124x = 156,418 × 156,418
  4. Step 4: Simplify right side
    72,124x = 24,466,590,724
  5. Step 5: Solve for x
    x = 24,466,590,724/72,124
  6. Step 6: Final answer
    x = 339,229.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.